Semi-leptonic decays on the lattice in the heavy quark effective theory
Semi-leptonic decays on the lattice in the heavy quark effective theory
We calculate the B-meson decay constant, fB, and the form factors, f+(0), A1(0) and V(0), of the decays B̅;0 → πev̅;e and B̅;0 → ρev̅;e in the limit that the b quark is static. The calculations are performed on a 243 x 48 lattice at β = 6.2 in the quenched approximation. The different methods we use to obtain fB give results between 237 (16) and 283 (25) MeV, in good agreement with static-limit calculations performed by other authors. The matrix elements of the decays mentioned are well-determined at the momentum transfers and the masses of the light quarks which we considered. This gives confidence to the application of the static-limit method to the study of the semi-leptonic decays of heavy-light mesons. However, while the extrapolation processes necessary for arriving at f+ (0), A1 (0) and V(0) give results similar to those obtained by the authors who use a method in which the b quark propagates, they also introduce large uncertainties, so that no definite statements can be made about these form factors.
University of Southampton
1994
Duong, Huy Danh
(1994)
Semi-leptonic decays on the lattice in the heavy quark effective theory.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
We calculate the B-meson decay constant, fB, and the form factors, f+(0), A1(0) and V(0), of the decays B̅;0 → πev̅;e and B̅;0 → ρev̅;e in the limit that the b quark is static. The calculations are performed on a 243 x 48 lattice at β = 6.2 in the quenched approximation. The different methods we use to obtain fB give results between 237 (16) and 283 (25) MeV, in good agreement with static-limit calculations performed by other authors. The matrix elements of the decays mentioned are well-determined at the momentum transfers and the masses of the light quarks which we considered. This gives confidence to the application of the static-limit method to the study of the semi-leptonic decays of heavy-light mesons. However, while the extrapolation processes necessary for arriving at f+ (0), A1 (0) and V(0) give results similar to those obtained by the authors who use a method in which the b quark propagates, they also introduce large uncertainties, so that no definite statements can be made about these form factors.
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Published date: 1994
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Local EPrints ID: 458473
URI: http://eprints.soton.ac.uk/id/eprint/458473
PURE UUID: a8f85d11-67dd-4c47-9664-027b1b3cda0f
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Date deposited: 04 Jul 2022 16:49
Last modified: 04 Jul 2022 16:49
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Author:
Huy Danh Duong
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